Đáp án:
Giải thích các bước giải:
a) `y=5cos 2x+3sin x`
`y'=-5 . 2 . sin 2x + 3 . cos . x`
`y'=-10sin 2x+3cos x`
b) `y=sin^5 x`
`y'=5 . (sin x)' . (sin^4 x)`
`y'=5 . cos x . sin^4 x`
c) `y=x^2 cot x`
`y'=(x^2)' . (cot x) + (cot x)' . x^2`
`y'=2x . cot x - \frac{1}{sin^2 x} . x^2`
`y'=2xcot x-x^2 csc^2 x`
e) `y=\sqrt{1+2tan x}`
\(y'=\dfrac{(1+2tan x)'}{2\sqrt{1+2tan x}}\)
\(y'=\dfrac{2sec^2 x}{2\sqrt{1+2tan x}}\)
\(y'=\dfrac{sec^2 x}{\sqrt{1+2tan x}}\)
